--%>

Probability problem

A) What is the probability of getting the following sequence with a fair die (as in dice):

B) What is the probability of getting the same sequence with a die that is biased in the following way:

p(1)=p(2)=p(3)=p(4)=15%; p(5)=20%; p(6)=20%

C) For the sequence TTGSSGCG,where S=G or C,calculate the probability of occurrence given

p(G)=p(C)=30% and p(A)=p(T)=20%.

D) In a 1 megabase (1 million bases) stretch of DNA,how often do you expect to observe this TTGSSGCG randomly? (use frequencies as listed above) Just look at one strand of DNA.

   Related Questions in Advanced Statistics

  • Q : Problem on income probability Kramer

    Kramer spends all of his income  $270  on two products, soup (S) and on golf balls (G). He always bought 2 golf balls for every 1 cup of soup he consumes. He acquires no additional utility from the other cup of soup unless he as well gets 2 more golf balls a

  • Q : Probability Distributions and Data

    1. A popular resort hotel has 300 rooms and is usually fully booked. About 4% of the time a reservation is canceled before 6:00 p.m. deadline with no penalty. What is the probability that at least 280 rooms will be occupied? Use binomial distribution to find the exact value and the normal approxi

  • Q : Use the law of iterated expectation to

    Suppose we have a stick of length L. We break it once at some point X _

    Q : Probability of winning game Monte Carlo

    Monte Carlo Simulation for Determining Probabilities 1. Determining the probability of winning at the game of craps is difficult to solve analytically. We will assume you are playing the `Pass Line.'  So here is how the game is played: The shooter rolls a pair of

  • Q : True and False Statement Discuss the

    Discuss the following statements and explain why they are true or false: a)      Increasing the number of predictor variables will never decrease the R2 b)      Multicollinearity affects the int

  • Q : Describe what happens to the confidence

     A nurse practitioner working in a dermatology clinic is studying the efficacy of tretinoin in treating women's post partum abdominal stretch marks.  From a sample of 15 women, the mean reduction of stretch mark score is -0.33 with a sample standard deviation of 2.46.  Describe wha

  • Q : Pearsons correlation coefficient The

    The table below illustrates the relationship between two variable X and Y. A

  • Q : Variation what are the advantages and

    what are the advantages and disadvantages of seasonal variation

  • Q : Random variables Random variables with

    Random variables with zero correlation are not necessarily independent. Give a simple example.    

  • Q : Conclusion using p-value and critical

    A sample of 9 days over the past six months showed that a clinic treated the following numbers of patients: 24, 26, 21, 17, 16, 23, 27, 18, and 25. If the number of patients seen per day is normally distributed, would an analysis of these sample data provide evid